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6. Progressions
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Q3 of 105 Page 146

In an AP :

given a = 7, an = 35 find d and s13

d is the common difference

a is the first term = 7


a13 = 35


a13 = a + (13-1)d


35 = 7 + (12)(d)


28 = 12 d


d =


The sum of the series is Sn = [2a + (n-1) d]


S13 = [2×7 + (13-1) ]


= [42]


= 273


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2

Find the sums given below:

(-5) + (-8) + (-11) +…… + (-230)

3

In an AP :

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given d = 3, a12 = 37 find a and s12

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Questions · 105
6. Progressions
1 1 1 1 2 2 2 2 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 1 2 2 3 3 3 3 3 4 5 5 6 7 8 9 10 11 12 13 14 15 16 17 1 1 1 1 2 2 2 3 3 3 3 3 3 3 4 5 6 7 7 8 9 10 11 12 13 14 1 1 1 2 2 2 2 3 3 3 3 3 3 3 3 3 4 1 1 1 1 2 3 3 4 4 4 5 6 7
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